 | William Chauvenet - Geometry - 1887 - 346 pages
...Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the sur. face of a sphere bounded by three or more arcs of great circles, as ABCD. Since the planes of all great circles pass through the centre of the sphere, the planes of the sides... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...intersection. When the two curves are arcs of great circles the angle is called a spherical angle. 693. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon; the points of intersection of the sides are the vertices... | |
 | Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...INTRODUCTION. 85. SPHERICAL TRIGONOMETRY treats of the solution of spherical triangles. A spherical triangle is a portion of the surface of a sphere bounded by three arcs of great circles of the sphere. NOTE. — Before undertaking the study of spherical trigonometry... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...included arcs of great polar circles are the only arcs that serve as measures for spherical angles. 562. A spherical polygon is a portion of the surface of a sphere bounded by the intersecting arcs of great circles, each arc being less than a semi-circumference. The arcs of... | |
 | William Chauvenet - Geometry - 1891 - 336 pages
...Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the sur. face of a sphere bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre of the sphere, the planes of the... | |
 | William Chauvenet - 1893 - 340 pages
...planes are perpendicular to its plane (VI., Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre of the sphere, the planes of the... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...the plane angle of the dihedral angle between the planes of the Qs. 251. A spherical polygon is the portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the spherical angles which they form are the angles... | |
 | Webster Wells - Geometry - 1894 - 398 pages
...Therefore, Z DAD" is measured by the arc BB ' . SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 605. A spherical polygon is a portion of the surface of...arcs are called the sides of the spherical polygon. The angles of the spherical polygon are the spherical angles (§ 002) formed by the adjacent sides... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...Therefore, Z DAD' is measured by the arc BB'. SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 605. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles; as ABC 'D. The bounding arcs are called the sides of the spherical polygon. The angles of the spherical... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...of the diedral formed by their planes. SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 605. A spherical polygon is a portion of the surface of a sphere bounded by three or more arc's of great circles; as AH CD. The bounding arcs are called the sides of the spherical polygon.... | |
| |
A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The... 
